E
, 17.02.2022 22:25

# The spring has a stiffness k=200 N/m and is unstretched when the 25 kg block is at A. Determine the acceleration of the block when s=0.4 m. The contact surface between the block and the plane is smooth (no friction).(solve using F=ma for acceleration and U=Δ T+Δ V for velocity)  Acceleration of the block = 3.2 m/s

Explanation:

Given data:

k = 200 N/m

m = 25 kg

s  = 0.4 m

Now, in order to calculate the force that is applied to a spring, we use the formula:

F = ks

where k is the spring constant and s is the extension.

We also know that,

F = ma

where m is the mass and a is the acceleration.

Since both are the formulas for force, we can write as:

ma = ks

a = ks/m

Now substituting the values in the above equation,

a = 200 × 0.4

25

a   = 3.2 m/s  ### Other questions on the subject: Engineering

E
Engineering, 04.11.2021 18:19
If the print scale indicates one-half size, what is the print length of a dimension listed as 12.00 ?
E
Engineering, 20.06.2021 14:14
Consider an LZW encoder and decoder system works with a table of size 1024 entry. The table is initially filled with entries 0-255 corresponding to the ASCII characters. Characters ‘d and e are located at indices 101 and 102 respectively. Suppose that the LZW decoder receives the following sequence of indices: 101, 102, 256, 258, 257,
E
Engineering, 20.06.2021 14:12
Consider an LZW encoder and decoder system works with a table of size 1024 entry. The table is initially filled with entries 0-255 corresponding to the ASCII characters. Characters ‘d and e are located at indices 101 and 102 respectively. Suppose that the LZW decoder receives the following sequence of indices: 101, 102, 256, 258, 257,
E
Engineering, 11.06.2021 01:03
Construct a 4K X 16 memory using 1K X 8 memory? 