# Acceleration of gravity problem

• allora_97
In summary, a 43 kg block is pushed along the ceiling with a constant applied force of 560 N at an angle of 67 degrees. The block accelerates to the right at 4.5 m/s2 and the acceleration of gravity is 9.8 m/s2. To find the magnitude of the normal force exerted by the ceiling on the block, we must determine the net force acting in the vertical direction and use one of Newton's laws.

## Homework Statement

A(n) 43 kg block is pushed along the ceiling
with a constant applied force of 560 N that
acts at an angle of 67◦ with the horizontal,
as in the figure. The block accelerates to the
right at 4.5 m/s2.
The acceleration of gravity is 9.8 m/s2 .
What is the magnitude of the normal force
the ceiling exerts on the block?

F=ma
Fn = mg

## The Attempt at a Solution

I tried to find Fn = mg = 560sin67, it didn't work
any ideas?

Last edited:

here's the image

#### Attachments

• physics5.jpg
20.2 KB · Views: 384

allora_97 said:

## Homework Statement

A(n) 43 kg block is pushed along the ceiling
with a constant applied force of 560 N that
acts at an angle of 67◦ with the horizontal,
as in the figure. The block accelerates to the
right at 4.5 m/s2.
The acceleration of gravity is 9.8 m/s2 .
What is the magnitude of the normal force
the ceiling exerts on the block?

## Homework Equations

F=ma
Fn = mg
The normal force, F_n, is the perpendicular contact force exerted by the ceiling on the block. It is not the weight of the block.

## The Attempt at a Solution

I tried to find Fn = mg = 560sin67, it didn't work
any ideas?
Your equation makes no sense. 560sin67 is the upward vertical component of the applied 560 N force. Look at all the forces acting in the vertical direction, determine the net force acting in that direction, and then use one of Newton's laws to solve for F_n.

## What is the acceleration of gravity?

The acceleration of gravity, denoted by g, is the rate at which objects fall in a vacuum due to the force of gravity. On Earth, the average value of g is approximately 9.8 meters per second squared.

## How is the acceleration of gravity calculated?

The acceleration of gravity can be calculated using the formula g = G * (M / d^2), where G is the gravitational constant, M is the mass of the larger object, and d is the distance between the two objects.

## Does the acceleration of gravity change with altitude?

Yes, the acceleration of gravity does change with altitude. As you move further away from the Earth's surface, the force of gravity decreases, resulting in a lower value for g. However, this change is minimal until you reach altitudes above 10,000 meters.

## How does the acceleration of gravity differ on other planets?

The acceleration of gravity on other planets is different due to variations in mass and radius. For example, on Mars, the acceleration due to gravity is approximately 3.7 meters per second squared, while on Jupiter, it is 24.8 meters per second squared. These values can be calculated using the same formula as on Earth, but with different values for M and d.

## Are there any factors that can affect the acceleration of gravity?

Yes, there are several factors that can affect the acceleration of gravity, including altitude, mass and distance of objects, and the presence of other forces such as air resistance. Additionally, the acceleration of gravity may be affected by the curvature of space-time due to the effects of general relativity.