Answer:
D. 520 N
Explanation:
According to the impulse theorem, the change in momentum of the ball is equal to the impulse exerted on the ball, mathematically:
where
is th change in momentum
F is the average force exerted on the ball
is the time of contact
The change in momentum of the ball is
where
m = 57 g = 0.057 kg is the mass of the ball
u = 45 m/s is the initial velocity
v = -33 m/s is the final velocity (in the opposite direction)
Substituting,
The time of the collision is
Therefore, the average force is
So, the magnitude is approximately 520 N.
Explanation:
<em>Work done by torque = magnitude of force * perpendicular distance between the point of action and point(axis) of rotation.</em>
Based on the calculations, the angle through which the tire rotates is equal to 4.26 radians and 244.0 degrees.
<h3>How to calculate the angle?</h3>
In Physics, the distance covered by an object in circular motion can be calculated by using this formula:
S = rθ
<u>Where:</u>
- r is the radius of a circular path.
- θ is the angle measured in radians.
Substituting the given parameters into the formula, we have;
1.87 = 0.44 × θ
θ = 1.87/0.44
θ = 4.26 radians.
Next, we would convert this value in radians to degrees:
θ = 4.26 × 180/π
θ = 4.26 × 180/3.142
θ = 244.0 degrees.
Read more on radians here: brainly.com/question/19758686
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The given question is incomplete. The complete question is as follows.
The block has a weight of 75 lb and rests on the floor for which = 0.4. The motor draws in the cable at a constant rate of 6 ft/sft/s. Neglect the mass of the cable and pulleys.
Determine the output of the motor at the instant .
Explanation:
We will consider that equilibrium condition in vertical direction is as follows.
N - W = 0
N = W
or, N = 75 lb
Again, equilibrium condition in the vertical direction is as follows.
= 0
=
= 30 lb
Now, the equilibrium equation in the horizontal direction is as follows.
or, T =
=
=
= 17.32 lb
Now, we will calculate the output power of the motor as follows.
P = Tv
=
=
= 0.189 hp
or, = 0.2 hp
Thus, we can conclude that output of the given motor is 0.2 hp.
Weight=mass x gravitational force
W=60 x 1/100 x 10
W=60 x 0.1
W=6N