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polet [3.4K]
2 years ago
12

An ice cube of mass 50.0 g can slide without friction up and down a 25.0 degree slope. The ice cube is pressed against a spring

at the bottom of the slope, compressing the spring 0.100 m . The spring constant is 25.0 N/m . When the ice cube is released, how far will it travel up the slope before reversing direction? Express your answer numerically in meters to three significant figures. d = nothing m
Physics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

0.6 m

Explanation:

When a spring is compressed it stores potential energy. This energy is:

Ep = 1/2 * k * x^2

Being x the distance it compressed/stretched.

When the spring bounces the ice cube back it will transfer that energy to the cube, it will raise up the slope, reaching a high point where it will have a speed of zero and a potential energy equal to what the spring gave it.

The potential energy of the ice cube is:

Ep = m * g * h

This is vertical height and is related to the distance up the slope by:

sin(a) = h/d

h = sin(a) * d

Replacing:

Ep = m * g * sin(a) * d

Equating both potential energies:

1/2 * k * x^2 = m * g * sin(a) * d

d = (1/2 * k * x^2) / (m * g * sin(a))

d= (1/2 * 25 * 0.1^2) / (0.05 * 9.81 * sin(25)) = 0.6 m

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78.34

Explanation:

1.3/30=78.3m

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2 years ago
A circuit with a 60 V battery, a 7 Ω resistor, a resistor with 0.2 A across it, and another 7 Ω resistor in series. What is the
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Answer:

28.6 ohm

Explanation:

there is a 3rd resistor in series. voltage drop across the resistors will be equal to 60v

7*.2+7*.2 +.2x = 60

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2 years ago
A straight wire, labeled as Wire A, lies horizontally on a tabletop and is oriented to run north-south. A conventional current o
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Answer:

b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).

d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).

Explanation:

Two parallel conductors experience attractive force when the current flowing in the conductors are in the same direction.

Also two parallel conductors experience repulsive force when the current flowing in the conductors are in opposite direction.

Therefore, b and d are the correct options.

b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).

d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).

3 0
2 years ago
Which moves more: the air molecules or the energy of the sound?
MatroZZZ [7]

Answer:

A sound wave can be affected by a lot of different variables. As an audio engineer some of the more common things we deal with involve air temperature, humidity and even wind. The first two affect the speed at which the wave travels, while wind can actually cause a phase like effect if it is blowing hard enough. Another big one though not directly related to the air is walls and other solid objects that cause the sound wave to bounce off of them and reflect. This causes a secondary wave that isn’t as strong as the first wave but is the cause of “muddy” sounding venues when you are indoors.

Explanation:

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2 years ago
block is attached to an oscillating spring. The function below shows its position (cm) vs. time (s). What is the angular frequen
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Answer:

Angular frequency is 20 rad/s.      

Explanation:

Given that,

A block is attached to an oscillating spring. The function below shows its position (cm) vs. time (s) is given by :

x(t)=1.5\cos(20\ t).....(1)

The general equation of oscillating particle is given by :

x(t)=A\cos(\omega t).......(2)

Compare equation (1) and (2) we get :

\omega=20\ rad/s

So, the angular frequency of the oscillation is 20 rad/s.

7 0
3 years ago
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