# What is her speed when she is at an angle theta?

• mgillespie67
In summary, a snowboarder is resting on a snowball with radius R and begins to slide off the frictionless surface. The questions ask for the snowboarder's speed at a certain angle, the maximum speed she can have without losing contact with the surface, and the angle at which she will fly off the snowball. To solve this problem, one should use Newton's second law and consider centripetal force. When the centripetal force exceeds the normal force, the snowboarder will fly off the snowball.
mgillespie67

## Homework Statement

a snowboader is resting atop a large snowball with radius R when she begins to slide off the frictionless surface
a)what is her speed when she is at an angle theta?
b)find the maximum speed she can have without losing contact with the surface?
c)at what angle will she fly off the snowball?

## The Attempt at a Solution

Newton's second law should be handy to solve this type of equation.

Cheers

You have to consider centripetal force in this problem. When the centripetal force gets greater than the normal force (force perpendicular pulling her towards the center of the ball) she flies off..

## 1. What is the formula for calculating speed at an angle?

The formula for calculating speed at an angle (theta) is: v = u*cos(theta), where v is the speed at the angle, u is the initial speed, and theta is the angle in radians.

## 2. How is the angle theta measured?

The angle theta is typically measured in radians, which is a unit of measurement for angles that is commonly used in mathematics and physics. Radians represent the ratio between the arc length and the radius of a circle.

## 3. Can the speed at an angle be negative?

Yes, the speed at an angle can be negative. This indicates that the object is moving in the opposite direction of the angle. In physics, direction is often represented by a positive or negative sign, with positive indicating a movement in the direction of the angle and negative indicating a movement in the opposite direction.

## 4. How does the angle theta affect the speed of an object?

The angle theta affects the speed of an object by changing the direction of the velocity vector. As the angle theta increases, the speed of the object in the direction of the angle also increases. However, the overall speed of the object may remain constant if the initial speed remains the same.

## 5. Can the speed at an angle be greater than the initial speed?

Yes, the speed at an angle can be greater than the initial speed. This occurs when the angle theta is less than 90 degrees and the initial speed is greater than the speed in the direction of the angle. In this case, the overall speed of the object will be greater than the initial speed.

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