1. a huge spool of wire, 10,000 meters long, weighs 81.34 n. you cut off a meter or so and tie it between two posts, 0.660 m apart. the tension in the wire is set to 52 n. when the string is plucked, at the same instant a 196 hz tuning fork is also hit, what beat frequency is heard

The beat frequency is 6.378 Hz.

Explanation:

Given that,

Length of wire = 10000 m

Weight = 81.34 N

Distance = 0.660 m

Tension = 52 N

Frequency = 196 Hz

We need to calculate the mass of the wire

Using formula of weight

Put the value into the formula

The mass per unit length of the wire

Put the value into the formula

We need to calculate the frequency in the wire

Using formula of frequency

Put the value into the formula

We need to calculate the beat frequency

Using formula of beat frequency

Put the value into the formula

Hence, The beat frequency is 6.378 Hz.

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.