1. A 2180-kg car is slowed down uniformly from 24.6 m/s to 5.2 m/s in 3.87 s. (a
ID: 1573547 • Letter: 1
Question
1. A 2180-kg car is slowed down uniformly from 24.6 m/s to 5.2 m/s in 3.87 s.
(a) What absolute value of the average total force acted on the car during this time? (Note: your answer should be a postive number.) __________ N ( ± 200 N)
(b) How far did the car travel during this time? _________m ( ± 2 m)
2. A block of mass m=2.88 kg is held in equilibrium on a frictionless incline of angle =58.9 by the horizontalhorizontal force FF, as shown in the figure.
(a) Determine the value of FF. ________N ( ± 0.2 N)
(b) Determine the normal force exerted by the incline on the block. ______N ( ± 0.2 N)
3. A 3.06 kg bucket of water is raised from a well by a rope. The upward acceleration of the bucket is 3.37 m/s22. It will be helpful if you can properly draw a free-body diagram. Find the force exerted by the rope on the bucket.
___________N ( ± 2 N)
Explanation / Answer
here,
1)
mass , m = 2180 kg
intial speed , u = 24.6 m/s
final speed , v = 5.2 m/s
time taken, t= 3.87 s
a)
let the accelration be a
v= u + a * t
5.2 = 24.6 + a * 3.87
a = - 5.01 m/s^2
the average total force required , F = m * a
F = 2180 * 5.01 = 1 * 10^4 N
b)
the distance travelled be s
v^2 - u^2 =2 * a * s
5.2^2 - 24.6^2 = - 2 * 5.01 * s
s = 57.7 m
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