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koban [17]
3 years ago
9

You are driving your 1700 kg car at 21 m/s down a hill with a 5.0∘ slope when a deer suddenly jumps out onto the roadway. You sl

am on your brakes, skidding to a stop.
How far do you skid before stopping if the kinetic friction force between your tires and the road is 1.5×104 N?Solve this problem using conservation of energy.

Express your answer to two significant figures and include the appropriate units.
Physics
1 answer:
podryga [215]3 years ago
6 0

Answer:

d = 27.7 m

Explanation:

Here the car is driving on the inclined plane

So here we can say that work done by the gravity and work done by friction is equal to change in kinetic energy of the system

So here we can write it as

mgsin\theta \times d - F_f \times d = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_i^2

now we have

m = 1700 kg

v_f = 0

v_i = 21 m/s

F_f = 1.5 \times 10^4 N

(1700)(9.81)sin5 (d) - (1.5\times 10^4)d = 0 - \frac{1}{2}(1700)(21^2)

1453.5 d - (1.5\times 10^4)d = -374850

d = 27.7 m

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The time needed for the hammer to reach the surface of the Earth is 3.54 s.

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The time of motion is calculated as follows;

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