# Two objects are connected by a string of negligible mass

• bahamut1111
In summary: Don't worry about the 8 kg block, just focus on the 10 kg block.In summary, two objects with masses of 10 kg and 8 kg are connected by a string and placed on a smooth table. The 8 kg block is released from rest at a distance of 1.1 m above the floor and accelerates towards the ground at a rate of 9.8 m/s^2. It takes 0.711 seconds for the 8 kg block to hit the floor. The 10 kg block moves with a constant acceleration until the 8 kg block hits the floor, and then moves with a constant speed until it leaves the table. The distance between the landing points of the two blocks is

#### bahamut1111

Two objects are connected by a string of negligible mass.
The 10 kg block is placed on a
smooth table top 2.2 m above the floor, and
the 8 kg block hangs over the edge of the ta-
ble. The 8 kg block is then released from rest
at a distance of 1.1 m above the floor at time
t = 0.

A. Determine the acceleration of the 8 kg block
as it descends. The acceleration of gravity is
9.8 m/s2 .

B. How long dies it take the 8 kg block to strike
the floor?

C. Describe the motion of the 10 kg block from
the time t = 0 to the time when the 8 kg block
strikes the floor.
1. Itmoves with an increasing acceleration.
2. It moves with a constant speed.
3. It moves with a decreasing acceleration.
4. It moves with a constant acceleration.
5. It stays still.

D. Describe the motion of the 10 kg block from
the time the 8 kg block strikes the floor to the
time the 10 kg block leaves the table.
1. Itmoves with an increasing acceleration.
2. It stays still.
3. It moves with a constant speed.
4. It moves with a decreasing acceleration.
5. It moves with a constant acceleration.

E. Determine the distance between the landing
points of the two blocks.

I've tried this question multiple times and got it wrong... :( I need help!

Hi bahamut1111 and welcome to PF. Can you show us what answer(s) you gave and why you thought these were the correct answers? Then we may be able to point out where you went wrong and why. Start with question A.

ok i got the first four parts but the fifth I am still getting wrong...

A. a = F/m = 8*9.8 / (10+8) = 4.36 m/s^2

B. 1.1 = (1/2) 4.36 t^2

t = sqrt(2.2/4.36) = 0.711 s

C. 4. It moves with a constant acceleration.

D. 3. It moves with a constant speed.

E. Since the 8 kg block lands on the floor even with the edge of the table.
10 kg block travels at a horizontal speed of v = a t = 4.36 * 0.711 = 3.1 m/s
The 10 kg block lands v t = 3.1*0.711 = 2.2 m from the edge of the table so they land 2.2 m apart. But when i enter that it marks it wrong...

am i doing something wrong?

Parts A-D are correct. You have correctly found that the speed of the 10 kg block when it leaves the table is 3.1 m/s. What you are doing wrong is that to find how far from the table it lands you multiply incorrectly by 0.711 s. The 0.711 s is the time the 10 kg block changes its speed from zero to 3.1 m/s while sliding on the table. You need to multiply the 3.1 m/s by the time the block is in flight, i.e. the time interval from when the block leaves the table until it hits the floor. Can you find the time of flight?

bahamut1111 said:
That's not very helpful. If you did parts A-D yourself, you should have a picture in your head of what is going on. Can you describe with just words how the 10 kg block moves from t = 0 until it hits the floor?

## 1. What does it mean for a string to have negligible mass?

When we say that a string has negligible mass, it means that the mass of the string is so small that it can be considered to be zero. This is usually the case for strings made of lightweight materials such as thread or fishing line.

## 2. How does the negligible mass of a string affect the motion of connected objects?

The negligible mass of a string means that the string itself will not contribute significantly to the overall mass of the system. This allows us to simplify the calculations and treat the connected objects as a single system with a combined mass.

## 3. Can a string with non-negligible mass still be used to connect two objects?

Yes, a string with non-negligible mass can still be used to connect two objects. However, the mass of the string must be taken into account in calculations involving the motion of the connected objects.

## 4. Are there any real-life examples of objects connected by a string of negligible mass?

Yes, there are many real-life examples of objects connected by a string of negligible mass. One common example is a pendulum, where a light string is used to connect a heavy object (such as a metal ball) to a fixed point. Another example is a pulley system, where a string is used to connect two objects and allow one to move while the other remains stationary.

## 5. Does the length of the string affect the negligible mass?

No, the length of the string does not affect its negligible mass. As long as the string itself is made of a lightweight material, its mass can be considered negligible regardless of its length. However, the length of the string can affect the tension and other properties that may impact the motion of the connected objects.