Leroy, who has a mass of 110 , is skateboarding at 9.4 when he smacks into a brick wall and comes to a dead stop in 0.2. Find his deceleration.Find the force of impact. (ouch!)
Force = Massx acceleration. Find the accel using v=u+at, solving for a.
v is the final velocity (0); u is the initial (9.4), t is time (0.2)
Then x by 110 kg. to get the force in Newtons.
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To find Leroy's deceleration, we can use the formula:
deceleration = (final velocity - initial velocity) / time
Given:
- Initial velocity (u) = 9.4 m/s
- Final velocity (v) = 0 m/s
- Time (t) = 0.2 s
Substituting the values into the formula:
deceleration = (0 - 9.4) / 0.2
Calculating:
deceleration = -9.4 / 0.2
deceleration = -47 m/s²
The negative sign indicates that acceleration is in the opposite direction to the initial velocity (deceleration).
Now let's find the force of impact. The force (F) can be calculated using Newton's second law of motion:
force = mass × acceleration
Given:
- Mass (m) = 110 kg
- Acceleration (a) = deceleration = -47 m/s² (since it is opposite to the initial velocity)
Substituting the values into the formula:
force = mass × acceleration
force = 110 kg × -47 m/s²
Calculating:
force = -5170 N
The negative sign indicates that the force is in the opposite direction to the initial velocity.
So, Leroy's deceleration is -47 m/s² and the force of impact is -5170 N.