Question

Груз массой 5 кг поднимается по наклонной плоскости с углом наклона 30° под действием силы 40 Н. Какое расстояние пройдет тело за отрезок времени, в течение которого его скорость возрастает с 0 до 1 м/с. Коэффициент трения скольжения 0,1.

Answer 1

[email protected]@=ma
a=F/[email protected]@
S=at^2/2
a=v-v°/t
S=v-v°/t ×t^2/2=t/2=
=v-v°/2a=1/2a
a=3-\/3/2
S=6+\/3/33= 0,2343045699

Answer 2

Calculating the Distance Traveled

To calculate the distance traveled by the object, we can use the following formula:

Distance = Initial velocity * time + (1/2) * acceleration * time^2

Where: - Initial velocity (u) = 0 m/s - Final velocity (v) = 1 m/s - Acceleration (a) = (F - frictional force) / mass - Time (t) = ?

First, let's calculate the acceleration using the given force and coefficient of friction.

The force (F) acting on the object is 40 N, and the coefficient of friction (μ) is 0.1. The mass (m) of the object is 5 kg.

The formula for the acceleration due to the force and friction is: Acceleration = (F - frictional force) / mass

The frictional force can be calculated using the formula: Frictional force = coefficient of friction * Normal force

The normal force can be calculated using the formula: Normal force = mass * gravity * cos(angle of incline)

Where: - Gravity (g) = 9.81 m/s^2 - Angle of incline (θ) = 30°

Let's calculate the normal force, frictional force, and acceleration.

Calculating Normal Force, Frictional Force, and Acceleration

The normal force, frictional force, and acceleration can be calculated as follows:

Normal force = mass * gravity * cos(angle of incline) Frictional force = coefficient of friction * Normal force Acceleration = (F - frictional force) / mass

Substitute the given values into the formulas to calculate the normal force, frictional force, and acceleration.

Calculating Time

Once we have the acceleration, we can use it to calculate the time taken for the object to reach a velocity of 1 m/s.

The formula to calculate time using acceleration and change in velocity is: Time = (Final velocity - Initial velocity) / Acceleration

Substitute the given values into the formula to calculate the time taken.

Calculating Distance

Finally, we can use the calculated time and initial velocity to find the distance traveled by the object using the formula: Distance = Initial velocity * time + (1/2) * acceleration * time^2

Substitute the calculated values into the formula to find the distance traveled by the object.

Let's proceed with the calculations.