Concept explainers
Leroy, who has a mass of is skateboarding at when he smacks into a brick wall and comes to a dead stop in .
(a) Show that his deceleration is .
(b) Show that the force of impact is . (ouch!)
(a)
The deceleration is 45 m/s2.
Answer to Problem 6TS
The deceleration is, 45 m/s2.
Explanation of Solution
Given info: The initial speed of the skateboard is 0.9 m/s, the final speed of the skateboard is 0 m/s and the time taken is 0.2 s.
Write the expression for the deceleration.
Here,
v is the initial velocity
u is the final velocity
t is corresponding time
Substitute 9.0 m/s for v, 0 for u and 0.2 s for t in the above equation to get a.
Conclusion:
Therefore, the deceleration is 45 m/s2 .
(b)
The force of impact is 4500 N.
Answer to Problem 6TS
The force of impact is 4500 N.
Explanation of Solution
Given info: The initial speed of the skateboard is 0.9 m/s, the final speed of the skateboard is 0 m/s and the time taken is 0.2 s.
Write the expression for the force exerted.
Here,
m is the mass
a is the acceleration
Substitute 100 kg for m, and 45m/s2 for a in the above equation to get F.
Conclusion:
Therefore, the force of impact is 4500 N.
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