4. What force is needed to push a 15 N object up a 20° incline at constant speed when the coefficient of friction is 0.30
I will be happy to critique your work.
The applied force (in the direction up the incline) must equal the sum of the friction force, which is
0.3*15N*cos 20
PLUS the component of the weight DOWN the incline, which is 15N sin 20
ok so its 15.53 n
5.13 + 4.23 does not equal 15.53 N
To determine the force needed to push an object up an incline at constant speed, we need to consider two main forces: the force of gravity acting downward and the force of friction acting upward along the incline.
First, let's find the force of gravity acting on the object. The force of gravity can be calculated using the equation:
Force of Gravity = mass * gravitational acceleration
However, the mass of the object is not provided in the question, only its weight. Recall that weight is the force of gravity acting on an object and is calculated using the equation:
Weight = mass * gravitational acceleration
Since we know the weight of the object is 15 N, we can use this information to calculate the force of gravity:
Force of Gravity = Weight = 15 N
Next, let's determine the force of friction. The force of friction can be calculated using the equation:
Force of Friction = coefficient of friction * normal force
The normal force is the force exerted by a surface perpendicular to the object. When an object is on an incline, the normal force can be calculated using the equation:
Normal Force = Weight * cos(theta)
Here, theta is the angle of the incline, which is given as 20°. Plugging in the values, we have:
Normal Force = 15 N * cos(20°)
Now, we can calculate the force of friction using the coefficient of friction and the normal force:
Force of Friction = 0.30 * (15 N * cos(20°))
Finally, the force needed to push the object up the incline at constant speed is equal to the force of gravity plus the force of friction acting in the opposite direction:
Force Needed = Force of Gravity + Force of Friction
Force Needed = 15 N + (0.30 * (15 N * cos(20°)))