Choose the true statement concerning the mall or subatomic particles:
2 answers:
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Answer:
No
Explanation:
The force of tension exerted by the string on the rock acts as centripetal force, so its direction is always towards the centre of the circle.
However, the direction of motion of the rock is always tangential to the circle: this means that the force is always perpendicular to the direction of motion of the rock.
As we know, the work done by a force on an object is
where
F is the magnitude of the force
d is the displacement of the object
is the angle between the force and the displacement
In this situation, F and d are perpendicular, so , therefore
and the work done is zero:
Answer:
a) The linear acceleration of the car is , b) The tires did 7.46 revolutions in 2.50 seconds from rest.
Explanation:
a) A tire experiments a general plane motion, which is the sum of rotation and translation. The linear acceleration experimented by the car corresponds to the linear acceleration at the center of the tire with respect to the point of contact between tire and ground, whose magnitude is described by the following formula measured in meters per square second:
Where:
- Magnitude of the radial acceleration, measured in meters per square second.
- Magnitude of the tangent acceleration, measured in meters per square second.
Let suppose that tire is moving on a horizontal ground, since radius of curvature is too big, then radial acceleration tends to be zero. So that:
Where:
- Angular acceleration, measured in radians per square second.
- Radius of rotation (Radius of a tire), measured in meters.
Given that and
. The linear acceleration experimented by the car is:
The linear acceleration of the car is .
b) Assuming that angular acceleration is constant, the following kinematic equation is used:
Where:
- Final angular position, measured in radians.
- Initial angular position, measured in radians.
- Initial angular speed, measured in radians per second.
- Angular acceleration, measured in radians per square second.
- Time, measured in seconds.
If ,
,
, the final angular position is:
Let convert this outcome into revolutions: (1 revolution is equal to 2π radians)
The tires did 7.46 revolutions in 2.50 seconds from rest.