If a subway train is moving to the left (has a negative velocity) and then comes to a stop, what is the direction of its acceler
1 answer:
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Answer:
207.4 N
Explanation:
The torque on a body is
where r is the radius vector from the point of rotation to the point at which force F is applied.
The product of r and F is equal to the product of magnitude of r and F multiplied by the sine of angle between both vectors.
Therefore, torque is also given by
Where is the angle between r and F.
Use the expression of torque.
Substitute L for r in the equation
Where L is the length of the wrench.
Making F the subject
Force required to pull the wrench is given as,
Substitute for
, 25 cm for L, and 115o for
(a) If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.
(b) if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.
The force on an object is determined by applying Newton's second law of motion;
F = ma
(a)
when the force is halved, F₂ = 0.5F₁,
mass is doubled, m₂ = 2m₁
Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.
(b)
when the force is doubled, F₂ = 2F₁,
mass is halved, m₂ = 0.5m₁
Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.
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