# Physics equations/07-Work and Energy/Q:cart2/Testbank

## a07energy_cart2_1_v1

The spring constant is 561N/m, and the initial compression is 0.12m. What is the mass if the cart reaches a height of 1.38m, before coming to rest?

 a) 0.271 kg b) 0.284 kg c) 0.299 kg d) 0.314 kg e) 0.329 kg

copies
```===2===
{<!--a07energy_cart2_1-->The spring constant is 780N/m,  and the initial compression is 0.22m. What is the mass if the cart reaches a height of 2.45m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.679  kg
- b) 0.713  kg
- c) 0.749  kg
+ d) 0.786  kg
- e) 0.825  kg
===3===
{<!--a07energy_cart2_1-->The spring constant is 776N/m,  and the initial compression is 0.15m. What is the mass if the cart reaches a height of 3.08m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 0.289  kg
- b) 0.304  kg
- c) 0.319  kg
- d) 0.335  kg
- e) 0.352  kg
===4===
{<!--a07energy_cart2_1-->The spring constant is 743N/m,  and the initial compression is 0.11m. What is the mass if the cart reaches a height of 2.03m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.205  kg
- b) 0.215  kg
+ c) 0.226  kg
- d) 0.237  kg
- e) 0.249  kg
===5===
{<!--a07energy_cart2_1-->The spring constant is 559N/m,  and the initial compression is 0.26m. What is the mass if the cart reaches a height of 1.58m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 1.220  kg
- b) 1.281  kg
- c) 1.345  kg
- d) 1.413  kg
- e) 1.483  kg
===6===
{<!--a07energy_cart2_1-->The spring constant is 684N/m,  and the initial compression is 0.28m. What is the mass if the cart reaches a height of 2.58m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.010  kg
+ b) 1.060  kg
- c) 1.113  kg
- d) 1.169  kg
- e) 1.228  kg
===7===
{<!--a07energy_cart2_1-->The spring constant is 774N/m,  and the initial compression is 0.18m. What is the mass if the cart reaches a height of 1.18m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.033  kg
+ b) 1.084  kg
- c) 1.139  kg
- d) 1.195  kg
- e) 1.255  kg
===8===
{<!--a07energy_cart2_1-->The spring constant is 772N/m,  and the initial compression is 0.27m. What is the mass if the cart reaches a height of 2.40m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.085  kg
- b) 1.139  kg
+ c) 1.196  kg
- d) 1.256  kg
- e) 1.319  kg
===9===
{<!--a07energy_cart2_1-->The spring constant is 501N/m,  and the initial compression is 0.13m. What is the mass if the cart reaches a height of 1.58m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.225  kg
- b) 0.236  kg
- c) 0.248  kg
- d) 0.260  kg
+ e) 0.273  kg
===10===
{<!--a07energy_cart2_1-->The spring constant is 616N/m,  and the initial compression is 0.17m. What is the mass if the cart reaches a height of 1.69m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.512  kg
+ b) 0.537  kg
- c) 0.564  kg
- d) 0.593  kg
- e) 0.622  kg
===11===
{<!--a07energy_cart2_1-->The spring constant is 629N/m,  and the initial compression is 0.14m. What is the mass if the cart reaches a height of 2.37m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.229  kg
- b) 0.241  kg
- c) 0.253  kg
+ d) 0.265  kg
- e) 0.279  kg
===12===
{<!--a07energy_cart2_1-->The spring constant is 705N/m,  and the initial compression is 0.17m. What is the mass if the cart reaches a height of 3.24m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.306  kg
+ b) 0.321  kg
- c) 0.337  kg
- d) 0.354  kg
- e) 0.371  kg
===13===
{<!--a07energy_cart2_1-->The spring constant is 724N/m,  and the initial compression is 0.18m. What is the mass if the cart reaches a height of 2.99m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.381  kg
+ b) 0.400  kg
- c) 0.420  kg
- d) 0.441  kg
- e) 0.463  kg
===14===
{<!--a07energy_cart2_1-->The spring constant is 712N/m,  and the initial compression is 0.17m. What is the mass if the cart reaches a height of 3.06m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.296  kg
- b) 0.311  kg
- c) 0.327  kg
+ d) 0.343  kg
- e) 0.360  kg
===15===
{<!--a07energy_cart2_1-->The spring constant is 630N/m,  and the initial compression is 0.18m. What is the mass if the cart reaches a height of 1.94m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.487  kg
- b) 0.511  kg
+ c) 0.537  kg
- d) 0.564  kg
- e) 0.592  kg
===16===
{<!--a07energy_cart2_1-->The spring constant is 614N/m,  and the initial compression is 0.12m. What is the mass if the cart reaches a height of 2.09m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.186  kg
- b) 0.196  kg
- c) 0.206  kg
+ d) 0.216  kg
- e) 0.227  kg
===17===
{<!--a07energy_cart2_1-->The spring constant is 592N/m,  and the initial compression is 0.18m. What is the mass if the cart reaches a height of 1.33m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.667  kg
- b) 0.701  kg
+ c) 0.736  kg
- d) 0.773  kg
- e) 0.811  kg
===18===
{<!--a07energy_cart2_1-->The spring constant is 588N/m,  and the initial compression is 0.11m. What is the mass if the cart reaches a height of 3.08m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.112  kg
+ b) 0.118  kg
- c) 0.124  kg
- d) 0.130  kg
- e) 0.136  kg
===19===
{<!--a07energy_cart2_1-->The spring constant is 705N/m,  and the initial compression is 0.13m. What is the mass if the cart reaches a height of 3.28m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.168  kg
- b) 0.177  kg
+ c) 0.185  kg
- d) 0.195  kg
- e) 0.204  kg
===20===
{<!--a07energy_cart2_1-->The spring constant is 767N/m,  and the initial compression is 0.24m. What is the mass if the cart reaches a height of 2.21m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.881  kg
- b) 0.925  kg
- c) 0.971  kg
+ d) 1.020  kg
- e) 1.071  kg
===21===
{<!--a07energy_cart2_1-->The spring constant is 605N/m,  and the initial compression is 0.20m. What is the mass if the cart reaches a height of 2.88m,  before coming to rest?[[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 0.408  kg
+ b) 0.429  kg
- c) 0.450  kg
- d) 0.473  kg
- e) 0.496  kg
```

## a07energy_cart2_2_v1

The cart has a mass of 3.03kg. It is moving at a speed of 2.10m/s, when it is at a height of 2.45m. If the spring constant was 572N/m, what was the initial compression?

 a) 0.49 m b) 0.53 m c) 0.56 m d) 0.60 m e) 0.65 m

copies
```===2===
{<!--a07energy_cart2_2-->The cart has a mass of 42.80kg.   It is moving at a speed of 3.30m/s,  when it is at a height of 3.24m.    If the spring constant was 505N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 2.35  m
+ b) 2.51  m
- c) 2.69  m
- d) 2.87  m
- e) 3.08  m
===3===
{<!--a07energy_cart2_2-->The cart has a mass of 44.20kg.   It is moving at a speed of 3.40m/s,  when it is at a height of 3.77m.    If the spring constant was 607N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 2.49  m
- b) 2.67  m
- c) 2.86  m
- d) 3.06  m
- e) 3.27  m
===4===
{<!--a07energy_cart2_2-->The cart has a mass of 45.40kg.   It is moving at a speed of 3.20m/s,  when it is at a height of 3.87m.    If the spring constant was 597N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 2.39  m
+ b) 2.56  m
- c) 2.74  m
- d) 2.93  m
- e) 3.13  m
===5===
{<!--a07energy_cart2_2-->The cart has a mass of 46.30kg.   It is moving at a speed of 2.70m/s,  when it is at a height of 3.95m.    If the spring constant was 575N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 2.61  m
- b) 2.79  m
- c) 2.99  m
- d) 3.20  m
- e) 3.42  m
===6===
{<!--a07energy_cart2_2-->The cart has a mass of 30.50kg.   It is moving at a speed of 3.10m/s,  when it is at a height of 2.20m.    If the spring constant was 682N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.25  m
- b) 1.34  m
- c) 1.44  m
+ d) 1.54  m
- e) 1.64  m
===7===
{<!--a07energy_cart2_2-->The cart has a mass of 39.20kg.   It is moving at a speed of 2.60m/s,  when it is at a height of 3.66m.    If the spring constant was 510N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 2.15  m
- b) 2.30  m
+ c) 2.46  m
- d) 2.63  m
- e) 2.81  m
===8===
{<!--a07energy_cart2_2-->The cart has a mass of 41.90kg.   It is moving at a speed of 2.60m/s,  when it is at a height of 2.73m.    If the spring constant was 698N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.55  m
- b) 1.66  m
- c) 1.78  m
+ d) 1.90  m
- e) 2.04  m
===9===
{<!--a07energy_cart2_2-->The cart has a mass of 46.30kg.   It is moving at a speed of 3.20m/s,  when it is at a height of 2.11m.    If the spring constant was 510N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.89  m
- b) 2.02  m
+ c) 2.16  m
- d) 2.32  m
- e) 2.48  m
===10===
{<!--a07energy_cart2_2-->The cart has a mass of 43.70kg.   It is moving at a speed of 3.30m/s,  when it is at a height of 2.72m.    If the spring constant was 597N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 2.17  m
- b) 2.32  m
- c) 2.48  m
- d) 2.66  m
- e) 2.84  m
===11===
{<!--a07energy_cart2_2-->The cart has a mass of 32.30kg.   It is moving at a speed of 3.10m/s,  when it is at a height of 2.74m.    If the spring constant was 570N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 1.89  m
- b) 2.03  m
- c) 2.17  m
- d) 2.32  m
- e) 2.48  m
===12===
{<!--a07energy_cart2_2-->The cart has a mass of 49.70kg.   It is moving at a speed of 2.90m/s,  when it is at a height of 3.53m.    If the spring constant was 648N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.86  m
- b) 1.99  m
- c) 2.13  m
- d) 2.28  m
+ e) 2.44  m
===13===
{<!--a07energy_cart2_2-->The cart has a mass of 46.20kg.   It is moving at a speed of 3.00m/s,  when it is at a height of 2.51m.    If the spring constant was 676N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.52  m
- b) 1.63  m
- c) 1.74  m
- d) 1.86  m
+ e) 1.99  m
===14===
{<!--a07energy_cart2_2-->The cart has a mass of 30.50kg.   It is moving at a speed of 2.20m/s,  when it is at a height of 3.38m.    If the spring constant was 551N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 1.98  m
- b) 2.12  m
- c) 2.27  m
- d) 2.43  m
- e) 2.60  m
===15===
{<!--a07energy_cart2_2-->The cart has a mass of 41.80kg.   It is moving at a speed of 2.10m/s,  when it is at a height of 2.21m.    If the spring constant was 571N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
+ a) 1.87  m
- b) 2.00  m
- c) 2.14  m
- d) 2.29  m
- e) 2.45  m
===16===
{<!--a07energy_cart2_2-->The cart has a mass of 39.30kg.   It is moving at a speed of 2.30m/s,  when it is at a height of 3.43m.    If the spring constant was 633N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.85  m
- b) 1.98  m
+ c) 2.12  m
- d) 2.27  m
- e) 2.43  m
===17===
{<!--a07energy_cart2_2-->The cart has a mass of 41.30kg.   It is moving at a speed of 2.90m/s,  when it is at a height of 2.74m.    If the spring constant was 506N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.72  m
- b) 1.84  m
- c) 1.97  m
- d) 2.10  m
+ e) 2.25  m
===18===
{<!--a07energy_cart2_2-->The cart has a mass of 49.20kg.   It is moving at a speed of 3.80m/s,  when it is at a height of 3.51m.    If the spring constant was 556N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 2.54  m
+ b) 2.71  m
- c) 2.90  m
- d) 3.11  m
- e) 3.32  m
===19===
{<!--a07energy_cart2_2-->The cart has a mass of 39.40kg.   It is moving at a speed of 3.10m/s,  when it is at a height of 3.20m.    If the spring constant was 546N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 2.00  m
- b) 2.14  m
+ c) 2.28  m
- d) 2.44  m
- e) 2.62  m
===20===
{<!--a07energy_cart2_2-->The cart has a mass of 37.40kg.   It is moving at a speed of 2.60m/s,  when it is at a height of 3.97m.    If the spring constant was 629N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 2.10  m
+ b) 2.24  m
- c) 2.40  m
- d) 2.57  m
- e) 2.75  m
===21===
{<!--a07energy_cart2_2-->The cart has a mass of 32.40kg.   It is moving at a speed of 2.60m/s,  when it is at a height of 2.09m.    If the spring constant was 575N/m, what was the initial compression? [[File:Roller coaster energy conservation.jpg|260px|right]]}
- a) 1.34  m
- b) 1.43  m
- c) 1.53  m
+ d) 1.64  m
- e) 1.75  m
```

## a07energy_cart2_3_v1

You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

 a) 1.149 m/s b) 1.218 m/s c) 1.291 m/s d) 1.368 m/s e) 1.450 m/s

copies
```===2===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
===3===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.218  m/s
+ b) 1.291  m/s
- c) 1.368  m/s
- d) 1.450  m/s
- e) 1.537  m/s
===4===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
===5===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
===6===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.022  m/s
- b) 1.084  m/s
- c) 1.149  m/s
- d) 1.218  m/s
+ e) 1.291  m/s
===7===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.084  m/s
- b) 1.149  m/s
- c) 1.218  m/s
+ d) 1.291  m/s
- e) 1.368  m/s
===8===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
===9===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
+ a) 1.291  m/s
- b) 1.368  m/s
- c) 1.450  m/s
- d) 1.537  m/s
- e) 1.630  m/s
===10===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
+ a) 1.291  m/s
- b) 1.368  m/s
- c) 1.450  m/s
- d) 1.537  m/s
- e) 1.630  m/s
===11===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
+ a) 1.291  m/s
- b) 1.368  m/s
- c) 1.450  m/s
- d) 1.537  m/s
- e) 1.630  m/s
===12===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
===13===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.084  m/s
- b) 1.149  m/s
- c) 1.218  m/s
+ d) 1.291  m/s
- e) 1.368  m/s
===14===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
===15===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
+ a) 1.291  m/s
- b) 1.368  m/s
- c) 1.450  m/s
- d) 1.537  m/s
- e) 1.630  m/s
===16===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.218  m/s
+ b) 1.291  m/s
- c) 1.368  m/s
- d) 1.450  m/s
- e) 1.537  m/s
===17===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.022  m/s
- b) 1.084  m/s
- c) 1.149  m/s
- d) 1.218  m/s
+ e) 1.291  m/s
===18===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.218  m/s
+ b) 1.291  m/s
- c) 1.368  m/s
- d) 1.450  m/s
- e) 1.537  m/s
===19===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.218  m/s
+ b) 1.291  m/s
- c) 1.368  m/s
- d) 1.450  m/s
- e) 1.537  m/s
===20===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.022  m/s
- b) 1.084  m/s
- c) 1.149  m/s
- d) 1.218  m/s
+ e) 1.291  m/s
===21===
{<!--a07energy_cart2_3-->You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s,   when you encounter a hill of height 1.14m.  What is your speed at the top of the hill?}
- a) 1.149  m/s
- b) 1.218  m/s
+ c) 1.291  m/s
- d) 1.368  m/s
- e) 1.450  m/s
```