A boy is pushing a lawn mower with a force of 200N.The force makes an angle of 20° with hprizontal .
1. determine the force applied to move the lawn mower forward
2. Maximum height reached by an object.
To determine the force applied to move the lawn mower forward, we need to resolve the force into its horizontal and vertical components.
Given that the boy is pushing the lawn mower with a force of 200N at an angle of 20° with the horizontal, we can find the horizontal component and vertical component of the force using trigonometry.
1. Horizontal Component: The horizontal component is given by the formula: F_horizontal = F * cos(theta), where F is the magnitude of the force and theta is the angle the force makes with the horizontal.
Therefore, the horizontal component of the force is: F_horizontal = 200N * cos(20°).
2. Vertical Component: The vertical component is given by the formula: F_vertical = F * sin(theta), where F is the magnitude of the force and theta is the angle the force makes with the horizontal.
Therefore, the vertical component of the force is: F_vertical = 200N * sin(20°).
To determine the maximum height reached by an object, we need to know more information about the object and the conditions under which it is projected.
If the object is projected vertically upwards under the influence of gravity, we can use the kinematic equation to find the maximum height. The equation is:
h = (v^2 * sin^2(theta))/(2g),
where h is the maximum height, v is the initial velocity, theta is the angle of projection, and g is the acceleration due to gravity.
Without the values of v and theta, it is not possible to determine the maximum height reached by the object.