Physics, 09.08.2019 23:30 mem8163

A30 cm wrench is used to loosen a bolt with a force applied 0.30 mm from the bolt. it takes 60 n to loosen the bolt when the force is applied perpendicular to the wrench. how much force would it take if the force was applied at a 30 degree angle from perpendicular?

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Answer from: shadowsnake

The applied force is 69.28 N.

Explanation:

Given that,

Distance = 30 cm

Force = 60 N

Distance = 0.30 m

We need to calculate the torque to loosen the bolt

Using formula of torque

$\tau=F\times d$

Where, F = force

d = distance

Put the value into the formula

$\tau=60\times0.30$

$\tau=18\ N-m$

We need to calculate the force

To get the same torque with a force applied at 30 degree

Using formula of torque again

$18=F\times0.30\times\cos30^{\circ}$

$F=\dfrac{18}{0.30\times\cos30^{\circ}}$

$F=69.28\ N$

Hence, The applied force is 69.28 N.

Answer from: Quest

answer: what are you talking about?

explanation:

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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A30 cm wrench is used to loosen a bolt with a force applied 0.30 mm from the bolt. it takes 60 n to...