Question

Answer The Following:
(1) A metre rule balances when the 50 cm mark is directly above a pivot.
(a) State where in the rule its centre of mass is located.
(b) Fig. 3.1 shows an apple and a 0.40 N weight placed on the rule so that the rule remains balanced at the 50 cm mark.
The centre of mass of the apple is 25 cm from the pivot and the centre of mass of the weight is 45 cm from the pivot.
Calculate
(i) the weight of the apple
(ii) the mass of the apple.
(c) The apple is not moved. The weight is removed from the rule and the pivot is moved to the left until the rule balances as shown in Fig. 3.2.
(i) Explain why the arrangement in Fig. 3.2 balances.
(ii) The pivot in Fig. 3.2 is closer to the 50 cm mark than to the centre of mass of the apple.Compare the weight of the rule to the weight of the apple.

Answer 1

Answer:

The apple weighs 0.72 N despite the appropriation of a mass of 7.2 N in the center of the regulation, the center of mass is positioned. Since the pivot is moved to the left to equalize the rule due to the lack of adequate weight on the right, the arrangement balances the rule. The weight is sustained by the apple instead of by the ruler once the pivot is placed adjacent to the 50 cm line than the apple's center of mass.

Explanation:

a) The point in the rule in which the center of mass is positioned is called the middle or center. The center of mass is a location determined for an object or group of objects. That represents the typical location of the structure, balanced by the mass of each constituent. For simple physical quantities of homogenous density, the centroid corresponds to the center of mass is located.

b) The apple's center of mass is 25 cm away from the pivot, contrasted to the weight's center of mass's position of 45 cm.

i) Let the apple's weight be expressed by the symbol x to estimate that weight.

Designers are acquainted that the weight of the apple reduced by the apple's center of mass at the pivot reflects the weight of the apple divided by the mass supplied to the rule.

Consequently,  $25 \times x= 45 \times 0.4$

x= 0.72 N

Consequently, the apple weighs 0.72N.

ii) Weight of the apple compounded by the earth's gravitational pull yields the apple mass.

Given that the earth's gravity is $9.8 \times 10$

Consequently, the apple's mass is $=10\times0.72$.

The apple weighs 7.2 N.

c) The apple stays put. As soon as the rule is balanced, the weight is taken off of that, and the pivot is shifted to the left:

i) The apple stays in place. As soon as the rule is balanced, the weight is taken off of that, and the pivot is adjusted to the left. The pivot is moved to the left in this configuration to counterbalance the rule due to the lack of enough weight on the right.

ii) The weight is supported by the apple rather than the ruler when the pivot is located closer to the 50 cm line than the apple's center of mass.

As a result, a) the center of mass is situated in the center or center of the rule.

b) i) An apple weighs 0.72 Newtons.

ii) The apple weighs 7.2 N.

c) i) The pivot is moved to the left in this configuration to balance the rule since that does not have enough weight on the right.

ii) The weight is sustained by the apple instead of the ruler when the pivot is located close to the 50 cm mark than the apple's center of mass.

To know more about mass, visit:

https://brainly.com/question/15959704

To know more about the earth's gravity, visit:

https://brainly.com/question/3832419

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