Using the simulation answer the following questions. With friction turned on, se
ID: 1652929 • Letter: U
Question
Using the simulation answer the following questions. With friction turned on, set the initial velocity of the box to 3.0 m/s, the coefficient of friction to 0.30, and the mass to 0.6 kg. Assume the acceleration due to gravity has a magnitude of 9.8 m/s^2. (a) What is the magnitude of the frictional force acting on the block while it is in motion? (b) What is the acceleration of the box? Define to the right as the positive direction, as in the simulation. (c) What is the distance traveled by the box before coming to rest? (d) How much time passes before the block comes to rest? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) If you increased the mass of the box which of your answers above would change? Select all that apply from the list below. The answer to part (d) would change The answer to part (c) would change None of the answers would change The answer to part (a) would change The answer to part (b) would changeExplanation / Answer
(a) Frictional force = Ff = mu*m*g = 0.30*0.6*9.8 = 1.764 N
(b) Acceleration of the box = Ff / m = 1.764 / 0.6 = 2.94 m/s^2
The direction of accleration shall be opposite to the direction of motion of the box. So, it si deacceleration rather than acceleration.
(c) Suppose distance travelled by the box before coming to rest is s meter.
Now, use the expression -
v^2 = u^2 + 2*a*s
put the values -
0 = 3^2 - 2*2.94*s
=> s = 9 / (2*2.94) = 1.53 m
(d) use the expression -
v = u + a*t
put the values -
0 = 3 - 2.94*t
=> t = 3 / 2.94 = 1.02 s
(e) Increase of mass means frictional force will increase. This means, deacceleration involved in the motion increases.
Now, all the parts (a), (b), (c) and (d) involves the values of acceleration. So, the value of these will change.
Hence correct options are (1),(2), (4) and (5).
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