Answer:
For macroscopic objects, we use units such as grams and kilograms to state their masses, but. There will not be much error if you estimate the mass of an atom by simply. to what we did for our hypothetical example, but the percentages are different: Add two atomic masses of carbon and six atomic masses of hydrogen:
Explanation:
We are given an object sliding down an incline with a friction force. A free-body diagram of the system is the following:
Now we will add the forces in the x-direction:
We will consider the forces that are in the direction of the movement as positive and the ones in the direction against the movement as negative. Plugging in the forces:
Now we solve for the friction force:
Multiplying both sides by -1:
Now we determine the x-component of the weight using the following triangle:
From the triangle we can use the function cosine as follows:
From this we can solve for the x-component of the weight by multiplying both sides by "mg":
Now we use this expression and replace it in the sum of forces:
Now we plug in the known values:
Solving the operations:
Therefore, the friction force is 171.5 Newtons.
-- Earth's average distance from the sun is about 93 million miles.
-- Mars' average distance around the sun is about 142 million miles.
-- So, as both planets travel in their orbits around the sun, the distance
between them changes, between (142 - 93) = about 49 million miles
and (142 + 93) = about 235 million miles.
Answer:
The free-body diagram for the ball is shown in the pic.
Explanation:
The ball rests on the floor of the barrel because the gravitational force is equal to the normal force. The force of the spring pushes to the right and causes an acceleration to the right.
The free-body diagram for the ball is shown in the pic.
Answer:
They collide after
Explanation:
The time in which the two cars collide will be equal to the time in which they two cover the distance 'D'.
Let the cars meet after 't' time
Distance covered by toy car travelling at a constant velocity equals
Distance that the accelerating car travles in the same time 't' can be obtained from second equation of kinematics as
Now the condition dictates that
Solving the quadratic equation for 't' we get
We neglect negative value since time cannot be negative.