Answer:
a) T = 20.601 N
b) T = 9.4585 N
Step-by-step explanation:
The tension in the string if the 5.8 kg box is held in place, so that it cannot move can be obtained as follows
For m = 2.1 Kg
∑ Fy = 0
T - W = 0 ⇒ T = W = m*g
⇒ T = 2.1 Kg*9.81 m/s²
⇒ T = 20.601 N (↑)
The tension in the string once the box begins to move can be obtained as follows
For M = 5.8 Kg
∑ Fx' = M*a
where x' is the direction of the slope
then
∑ Fx' = M*a ⇒ <em>T - M*g*Sin ∅ = M*a (I)</em>
For m = 2.1 Kg
∑ Fy = m*a
⇒ T - W = m*a
⇒ <em>T - m*g = m*a (II)</em>
If we solve the system of equations that comprises <em>I</em> and <em>II</em> we will know T:
T = M*m*g*(Sin ∅ -1) / (m - M)
⇒ T = (5.8 Kg)(2.1 Kg)(9.81 m/s²)(Sin 45º - 1) / (2.1 Kg - 5.8 Kg)
⇒ T = 9.4585 N
The length of the diameter is 2.86 cm rounded to 2 DP
Step-by-step explanation:
The formula of the circumference of a circle is
- C = 2πr, where r is the radius of the circle
- C = πd, where d is the diameter of the circle
∵ The circumference of a circle is 8.97 cm
- We need to find the diameter of the circle, then we will use
the 2nd formula of circumference above
∵ The circumference = πd
- Substitute the value of the circumference in the formula
∴ 8.97 = πd
- Subtract both sides by π
∴ 2.855 = d
- Round it to 2 decimal places (to the nearest hundredth)
∴ d = 2.86 cm
The length of the diameter is 2.86 cm rounded to 2 DP
Learn more;
You can learn more about the circle in brainly.com/question/8618791
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Answer:
It doesn't exist,bro.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A comlemetery angle is a angel or angles that add up to 90 degrees. They make a right angle. A supplemetry angle is a agle or agles that add up to 180 degrees and make a strate line.
